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Finding the Fourth Proportional to 1,430.64, 2,146.11 and 456.52

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Solution

The fourth proportional to 1,430.64, 2,146.11 and 456.52 is: 684.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.64 : 2,146.11 = 456.52 : x
  2. Step 2: Convert to fraction form
    1,430.64/2,146.11 = 456.52/x
  3. Step 3: Cross multiply
    1,430.64x = 2,146.11 × 456.52
  4. Step 4: Simplify right side
    1,430.64x = 979,731.41
  5. Step 5: Solve for x
    x = 979,731.41/1,430.64
  6. Step 6: Final answer
    x = 684.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.